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Finding the Fourth Proportional to 1,409.90, 2,114.78 and 677.24

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Solution

The fourth proportional to 1,409.90, 2,114.78 and 677.24 is: 1,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 2,114.78 = 677.24 : x
  2. Step 2: Convert to fraction form
    1,409.90/2,114.78 = 677.24/x
  3. Step 3: Cross multiply
    1,409.90x = 2,114.78 × 677.24
  4. Step 4: Simplify right side
    1,409.90x = 1,432,213.61
  5. Step 5: Solve for x
    x = 1,432,213.61/1,409.90
  6. Step 6: Final answer
    x = 1,015.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.